Details

analyze1.3s (21.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5107	46
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	11
50%	49.9%	0%	12
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.6%	0.3%	0%	13
99.9%	0%	0%	14
99.9%	0%	0%	14

Compiler

Compiled 104 to 90 computations (13.5% saved)

sample405.0ms (7%)

Algorithm

2×

intervals

Results

61.0ms

512×

body

128

valid

Compiler

Compiled 13467 to 11912 computations (11.5% saved)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5107	46

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 62 to 56 computations (9.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))

rewrite503.0ms (8.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`*-un-lft-identity_binary64_1442`
40×	`add-sqr-sqrt_binary64_1464`
36×	`associate-l_binary64_1383`
35×	`times-frac_binary64_1448`
30×	`add-cube-cbrt_binary64_1477`
16×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`
8×	`pow1_binary64_1503` `associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `associate-/r/_binary64_1388`
4×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-times_binary64_1452` `unswap-sqr_binary64_1410` `associate-*r/_binary64_1384`
3×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`pow-prod-down_binary64_1513` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-l/_binary64_1385` `-commutative_binary64_1373` `associate-/l/_binary64_1389`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 131

Calls

4 calls:

36.0ms	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
23.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
20.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
10.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Compiler

Compiled 5996 to 5256 computations (12.3% saved)

series365.0ms (6.3%)

Error

Counts

4 → 48

Calls

4 calls:

97.0ms	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
70.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
66.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
53.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Compiler

Compiled 2630 to 2335 computations (11.2% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5006	4462

prune496.0ms (8.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	2	180

Error

Counts

180 → 2

Compiler

Compiled 6509 to 5580 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 5/6 (/.f64 2/9 t))
0.2b	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
0.3b	(/.f64 1/27 (*.f64 t t))
0.4b	(/.f64 2/9 t)

rewrite165.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64_1442`
33×	`add-sqr-sqrt_binary64_1464`
31×	`times-frac_binary64_1448`
28×	`add-cube-cbrt_binary64_1477`
26×	`cancel-sign-sub-inv_binary64_1408`
14×	`associate-+l+_binary64_1375`
11×	`add-exp-log_binary64_1480` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
6×	`associate-/l*_binary64_1387`
4×	`pow1_binary64_1503` `div-inv_binary64_1439` `associate-/r*_binary64_1386`
3×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `diff-log_binary64_1534` `sum-log_binary64_1533` `flip3--_binary64_1446` `frac-add_binary64_1450` `flip--_binary64_1417` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394` `sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `+-commutative_binary64_1372`

Counts

4 → 106

Calls

4 calls:

17.0ms	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
8.0ms	(-.f64 5/6 (/.f64 2/9 t))
4.0ms	(/.f64 1/27 (*.f64 t t))
3.0ms	(/.f64 2/9 t)

Compiler

Compiled 1977 to 1360 computations (31.2% saved)

series222.0ms (3.8%)

Error

Counts

4 → 21

Calls

4 calls:

100.0ms	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
40.0ms	(-.f64 5/6 (/.f64 2/9 t))
40.0ms	(/.f64 1/27 (*.f64 t t))
26.0ms	(/.f64 2/9 t)

Compiler

Compiled 564 to 476 computations (15.6% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4980	1416
1	4980	1416

prune264.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Compiler

Compiled 1776 to 1211 computations (31.8% saved)

regimes296.0ms (5.1%)

Accuracy

Total 0.0b remaining (90.7%)

Threshold costs 0.0b (90.7%)

Compiler

Compiled 3385 to 3022 computations (10.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	46
1	20	46

end0.0ms (0%)

sample1.6s (27.9%)

Algorithm

1×

intervals

Results

925.0ms

8000×

body

128

valid

Compiler

Compiled 642 to 574 computations (10.6% saved)

Details

analyze1.3s (21.7%)

sample405.0ms (7%)

simplify62.0ms (1.1%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite503.0ms (8.6%)

series365.0ms (6.3%)

simplify69.0ms (1.2%)

prune496.0ms (8.5%)

localize7.0ms (0.1%)

rewrite165.0ms (2.8%)

series222.0ms (3.8%)

simplify63.0ms (1.1%)

prune264.0ms (4.5%)

regimes296.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (27.9%)

Profiling